Final answer:
The volume of the cylinder can be calculated using the formula V = πr2h, where r is the radius of the base and h is the height. In this case, the base of the cylinder has a diameter of 5 inches, so the radius is 2.5 inches. Therefore, the function V(h) that represents the volume of the cylinder is V(h) = π(2.5 inches)2h.
Step-by-step explanation:
The volume of a cylinder is given by the formula V = πr2h, where r is the radius of the base and h is the height.
In this case, the base of the cylinder has a diameter of 5 inches, which means that the radius is half of the diameter, or 2.5 inches.
Therefore, the function V(h) that represents the volume of the cylinder is V(h) = π(2.5 inches)2h.